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Finding the Third Proportional to 123,992 and 270,127

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Solution

The third proportional to 123,992 and 270,127 is: 588,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,992 : 270,127 = 270,127 : x
  2. Step 2: Convert to fraction form
    123,992/270,127 = 270,127/x
  3. Step 3: Cross multiply
    123,992x = 270,127 × 270,127
  4. Step 4: Simplify right side
    123,992x = 72,968,596,129
  5. Step 5: Solve for x
    x = 72,968,596,129/123,992
  6. Step 6: Final answer
    x = 588,494.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.